Question

Check whether x^3-x+1 is a multiple of 2-3x​

Answer 1

Step-by-step explanation:

Let g(X) = 2-3x

g(X) = 0

2-3x = 0

x= -2/3

Sub. x = -2/3

( -2/3)^3 - (-2/3) +1

= -8/27 +2/3 + 1

= -8 + 18 +27/27

= 37/27

which is not equal to zero.

Therefore by factor theorem g(X) is not a multiple of p(X).

Hope it helps friend....

Answer 2

Answer:

2-3x=0

x=-2/-3

x=2/3

Now,put the value of x=2/3

x^3-x+1

(2/3)^3-(2/3) +1

(8/27)-(2/3)+1

Now,take LCM

(8-18/27)+1

-10+1

-9